Using the Pythagoras theorem, the value of NK is 12.
What is the Pythagoras theorem?
The sum of the squares of the lengths of the other two sides of a right triangle equals the square of the hypotenuse's length.
It is given that, NL=9, and KL=15.
Use the Pythagoras theorem,
[tex]& \Rightarrow {{15}^{2}}=N{{K}^{2}}+{{9}^{2}} \\ & \Rightarrow 225-81=N{{K}^{2}} \\ & \Rightarrow NK=\sqrt{144} \\ & \Rightarrow NK=12 \\[/tex]
Therefore, the value of NK is 12.
Learn more about the Pythagoras theorem, here
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